Question

how do i solve |3x-7|+12<5?

Answer 1

should i substract 12 |3x-7|<-7?

Answer 2

the first step is add -12 to both sides (or subtract 12 from both sides)
you get
|3x-7| < -7

now you should think. what does | | do ? It makes whatever is "inside" positive. The smallest the left side can be is zero. Does that make sense?

Answer 3

yeah

Answer 4

is 0 < -7 ?

Answer 5

no

Answer 6

0 is as small as the left side gets, and 0 is not small enough (it's not smaller than -7)
so what x makes the left side smaller than -7 ? (hint: none!)

Answer 7

so is it undefined?

Answer 8

I would say there is no "x" that makes the relation true. i.e. there is no solution.

Answer 9

uhmm thanks :D